Finding the Third Proportional to 171 and 441
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Solution
The third proportional to 171 and 441 is: 1,137.32
Step by Step Solution
- Step 1: Write the proportion equation
171 : 441 = 441 : x - Step 2: Convert to fraction form
171/441 = 441/x - Step 3: Cross multiply
171x = 441 × 441 - Step 4: Simplify right side
171x = 194,481 - Step 5: Solve for x
x = 194,481/171 - Step 6: Final answer
x = 1,137.32
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Why These Related Problems?
These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.